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Finding the Third Proportional to 389,847 and 854,148

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Solution

The third proportional to 389,847 and 854,148 is: 1,871,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,847 : 854,148 = 854,148 : x
  2. Step 2: Convert to fraction form
    389,847/854,148 = 854,148/x
  3. Step 3: Cross multiply
    389,847x = 854,148 × 854,148
  4. Step 4: Simplify right side
    389,847x = 729,568,805,904
  5. Step 5: Solve for x
    x = 729,568,805,904/389,847
  6. Step 6: Final answer
    x = 1,871,423.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.